Question

the value of (2+√3) (2-√3) is​

Answer 1

Answer:

1 (Answer)...

Step-by-step explanation:

a square - b square = (a - b) (a + b)

(2+root 3) (2-root 3) = 2 square - root 3 square

= 4 - 3

= 1 Answer

Answer 2

Given :–

• An equation, (2 + √3)(2 – √3).

To Find :–

• Value of the given equation.

Solution :–

So, the given equation is,

⟹ (2 + √3)(2 – √3)

We know that,

(a + b)(a – b) = a² – b²

Here,

• a = 2
• b = √3

Now, put the given values in the identity.

⟹ (2 + √3)(2 – √3)

⟹ (2)² – (√3)²

Now, open both the brackets.

We know that, square root and the power is always cancel each other.

⟹ 4 – 3

⟹ 1

━━━━━━━━━━━━━━━━━━

Additional Information :–

Some simple identities :-

1. (a + b)² = a² + 2ab + b²

2. (a – b)² = a² – 2ab + b²

3. (x + a)(x + b) = x² + (a + b)x + ab

4. a³ + b³ = (a + b)(a² – ab + b²)

5. a³ – b³ = (a – b)(a² + ab + b²)

6. (a + b)³ = a³ + 3a²b + 3ab² + b³

7. (a – b)³ = a³ – 3a²b + 3ab² – b³

8. (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca